efficient solution

Optimality conditions for several type of efficient solutions of set-valued optimization problems

  • Xuan Duc Ha Truong
    • Categories Multi-Criteria Optimization, Nonsmooth Optimization Tags , , , , , , , ,

    A simple unified framework is presented for the study of strong efficient solutions, weak efficient solutions, positive proper efficient solutions, Henig global proper efficient solutions, Henig proper efficient solutions, super efficient solutions, Benson proper efficient solutions, Hartley proper efficient solutions, Hurwicz proper efficient solutions and Borwein proper efficient solutions of set-valued optimization problem with/or without … Read more

    Generating All Efficient Extreme Points in Multiple Objective Linear Programming Problem and Its Application

  • Thi Bach Kim Nguyen
  • Tuan Thien Nguyen
    • Categories Global Optimization Theory, Multi-Criteria Optimization Tags , , ,

    In this paper, simple linear programming procedure is proposed for generating all efficient extreme points and all efficient extreme rays of a multiple objective linear programming problem (V P). As an application we solve the linear multiplicative programming associated with the problem (VP). CitationsubmittedArticleDownload View PDF

    Objective space for multiple objectives linear fractional programming

  • Ragabia Sallam
  • Said Tantawy
    • Categories Multi-Criteria Optimization Tags , , , ,

    In this paper we give the construction of the objective space of multiple objectives linear fractional programming (MOLFP) with equal denominators under the linear fractional mapping .In this case the decision space maps to an objective space of less dimension. The important of this study is that the decision-Maker may depend on extreme points of … Read more